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Finding the Third Proportional to 220,409.44 and 329,759.86

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Solution

The third proportional to 220,409.44 and 329,759.86 is: 493,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,409.44 : 329,759.86 = 329,759.86 : x
  2. Step 2: Convert to fraction form
    220,409.44/329,759.86 = 329,759.86/x
  3. Step 3: Cross multiply
    220,409.44x = 329,759.86 × 329,759.86
  4. Step 4: Simplify right side
    220,409.44x = 108,741,564,855.02
  5. Step 5: Solve for x
    x = 108,741,564,855.02/220,409.44
  6. Step 6: Final answer
    x = 493,361.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.